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Pseudo-differential operators with d...

Sobolev, A. V.

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Pseudo-differential operators with discontinuous symbols : = Widom's conjecture /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Pseudo-differential operators with discontinuous symbols :/ A.V. Sobolev.
其他題名:	Widom's conjecture /
作者:	Sobolev, A. V.
出版者:	Providence, Rhode Island :American Mathematical Society, : 2013.,
面頁冊數:	v, 104 p. :ill ;25 cm.
附註:	"March 2013, Volume 222, Number 1043 (second of 5 numbers).".
標題:	Pseudodifferential operators. -
ISBN:	9780821884874 (pbk.) :

Pseudo-differential operators with discontinuous symbols : = Widom's conjecture /
Sobolev, A. V.

Pseudo-differential operators with discontinuous symbols :Widom's conjecture /A.V. Sobolev. - Providence, Rhode Island :American Mathematical Society,2013. - v, 104 p. :ill ;25 cm. - Memoirs of the American Mathematical Society,number 1043.0065-9266 ;.

"March 2013, Volume 222, Number 1043 (second of 5 numbers).".

Includes bibliographical references (pages 103-104) and index.

Introduction --

ISBN: 9780821884874 (pbk.) :US72.00

LCCN: 2012043999Subjects--Topical Terms:

579200
Pseudodifferential operators.

LC Class. No.: QA329.7 / .S63 2013

Dewey Class. No.: 515/.7242

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490 1 0 $a Memoirs of the American Mathematical Society, $x 0065-9266 ; $v number 1043.
500 $a "March 2013, Volume 222, Number 1043 (second of 5 numbers).".
504 $a Includes bibliographical references (pages 103-104) and index.
505 0 # $t Introduction -- $t Main result -- $t Estimates for PDO's with smooth symbols -- $t Trace-class estimates for operators with non-smooth symbols -- $t Further trace-class estimates for operators with non-smooth symbols -- $t A Hilbert-Schmidt class estimate -- $t Localisation -- $t Model problem in dimension one -- $t Partitions of unity, and a reduction to the flat boundary -- $t Asymptotics of the trace (9.1) -- $t Proof of theorem 2.9 -- $t Closing the asymptotics: proof of theorems 2.3 and 2.4 -- $t Appendix 1 : a lemma by H. Widom -- $t Appendix 2 : change of variables -- $t Appendix 3 : a trace-class formula -- $t Appendix 4 : invariance with respect to the affine change of variables.
650 # 0 $a Pseudodifferential operators. $3 579200